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486940272 = 243713412719
BaseRepresentation
bin11101000001100…
…001111001110000
31020221021010110220
4131001201321300
51444124042042
6120152453040
715031631640
oct3501417160
91227233426
10486940272
1122a957485
121170aa180
1379b61950
1448956520
152cb388ec
hex1d061e70

486940272 has 160 divisors (see below), whose sum is σ = 1586565120. Its totient is φ = 125245440.

The previous prime is 486940241. The next prime is 486940277. The reversal of 486940272 is 272049684.

It is a super-2 number, since 2×4869402722 = 474221656990867968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486940277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177729 + ... + 180447.

It is an arithmetic number, because the mean of its divisors is an integer number (9916032).

Almost surely, 2486940272 is an apocalyptic number.

486940272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486940272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793282560).

486940272 is an abundant number, since it is smaller than the sum of its proper divisors (1099624848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

486940272 is a wasteful number, since it uses less digits than its factorization.

486940272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 486940272 is about 22066.7231822036. The cubic root of 486940272 is about 786.7291306652.

The spelling of 486940272 in words is "four hundred eighty-six million, nine hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1456 1599 1722 1968 2132 2184 2296 2719 3198 3444 3731 4264 4368 4592 5438 6396 6888 7462 8157 8528 10876 11193 12792 13776 14924 16314 19033 21752 22386 25584 29848 32628 35347 38066 43504 44772 57099 59696 65256 70694 76132 89544 106041 111479 114198 130512 141388 152264 179088 212082 222958 228396 247429 282776 304528 334437 424164 445916 456792 494858 565552 668874 742287 780353 848328 891832 913584 989716 1337748 1449227 1484574 1560706 1696656 1783664 1979432 2341059 2675496 2898454 2969148 3121412 3958864 4347681 4682118 5350992 5796908 5938296 6242824 8695362 9364236 10144589 11593816 11876592 12485648 17390724 18728472 20289178 23187632 30433767 34781448 37456944 40578356 60867534 69562896 81156712 121735068 162313424 243470136 486940272